$2$-quasi-perfect Lee codes and abelian Ramanujan graphs: a new construction and relationship

Shohei Satake

This paper presents a new explicit infinite family of 2-quasi-perfect $p$-ary Lee codes of length $\frac{q-1}{2}$ and dimension $\frac{q-1}{2}-2k$ for $q=p^k\ge 14$, $p\ge 5$ a…